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14123112422430 = 2351161382784421
BaseRepresentation
bin1100110110000100101100…
…0110010101110000011110
31212000011012222200000011210
43031201023012111300132
53322343113240004210
650012022425325250
72655234614566614
oct315411306256036
955004188600153
1014123112422430
11455563a856850
1217011a1936826
137b5a5abc569b
1436b7c2cc36b4
15197594252e20
hexcd84b195c1e

14123112422430 has 128 divisors (see below), whose sum is σ = 37082421582336. Its totient is φ = 3414025843200.

The previous prime is 14123112422411. The next prime is 14123112422437. The reversal of 14123112422430 is 3422421132141.

It is a happy number.

It is a super-4 number, since 4×141231124224304 (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14123112422437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167251620 + ... + 167336040.

It is an arithmetic number, because the mean of its divisors is an integer number (289706418612).

Almost surely, 214123112422430 is an apocalyptic number.

14123112422430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14123112422430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18541210791168).

14123112422430 is an abundant number, since it is smaller than the sum of its proper divisors (22959309159906).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14123112422430 is a wasteful number, since it uses less digits than its factorization.

14123112422430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85882.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14123112422430 its reverse (3422421132141), we get a palindrome (17545533554571).

The spelling of 14123112422430 in words is "fourteen trillion, one hundred twenty-three billion, one hundred twelve million, four hundred twenty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 613 827 1226 1654 1839 2481 3065 3678 4135 4962 6130 6743 8270 9097 9195 12405 13486 18194 18390 20229 24810 27291 33715 40458 45485 54582 67430 84421 90970 101145 136455 168842 202290 253263 272910 422105 506526 506951 844210 928631 1013902 1266315 1520853 1857262 2532630 2534755 2785893 3041706 4643155 5069510 5571786 5576461 7604265 9286310 11152922 13929465 15208530 16729383 27858930 27882305 33458766 51750073 55764610 69816167 83646915 103500146 139632334 155250219 167293830 209448501 258750365 310500438 349080835 418897002 517500730 569250803 698161670 767977837 776251095 1047242505 1138501606 1535955674 1552502190 1707752409 2094485010 2303933511 2846254015 3415504818 3839889185 4607867022 5692508030 7679778370 8538762045 11519667555 17077524090 23039335110 42797310371 85594620742 128391931113 213986551855 256783862226 427973103710 470770414081 641959655565 941540828162 1283919311130 1412311242243 2353852070405 2824622484486 4707704140810 7061556211215 14123112422430